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Finding the Third Proportional to 38,113.03 and 82,684.55

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Solution

The third proportional to 38,113.03 and 82,684.55 is: 179,380.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,113.03 : 82,684.55 = 82,684.55 : x
  2. Step 2: Convert to fraction form
    38,113.03/82,684.55 = 82,684.55/x
  3. Step 3: Cross multiply
    38,113.03x = 82,684.55 × 82,684.55
  4. Step 4: Simplify right side
    38,113.03x = 6,836,734,291.92
  5. Step 5: Solve for x
    x = 6,836,734,291.92/38,113.03
  6. Step 6: Final answer
    x = 179,380.49

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.